{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e07363f1-686c-4499-bd2b-115fb317cd3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b97d2e96-71b3-42e8-bf65-8d0bddcdc746",
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 = np.linspace(-5,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f24aa9fc-653f-44f5-bf80-592c17bf1993",
   "metadata": {},
   "outputs": [],
   "source": [
    "def f1(x):\n",
    "    return 5*x + 2\n",
    "\n",
    "y1 = f1(x1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2c64bc0f-5dae-4efa-a2e3-636d4a5a6b07",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlim(-5,5)\n",
    "plt.ylim(f1(-5),f1(5))\n",
    "\n",
    "plt.plot(x1,y1)\n",
    "\n",
    "ax=plt.gca()\n",
    "ax.spines['top'].set_visible(False) #去掉上边框\n",
    "ax.spines['right'].set_visible(False) #去掉上边框\n",
    "\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "plt.grid(True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "56e130b7-fbec-406a-aac3-55b4fb2bdf04",
   "metadata": {},
   "outputs": [],
   "source": [
    "def f2(x):\n",
    "    return 5*x**2 + 3*x + 2\n",
    "\n",
    "y2 = f2(x1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8e1c6551-2e84-41f8-a6f0-0fa1a42a64ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc25cbb9f10>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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g76XC7b2DAXDJMRERtaxvDuZBb5QQHeGLnqFq0XGEYkFpgoadZdcfLoDmkl5wGiIickRGk4SV9QcDPhDnXOfuXAkLShPEtG+DbkHeqNWbsCYtX3QcIiJyQNtPlKCg4hJ8PVwwtk+I6DjCsaA0gUwms9wLXLEvF5IkCU5ERESOpuHcnXtiwuHmohCcRjwWlCaaEN0OHq4KZJdUYe+ZctFxiIjIgeReqMGOU6UAgPtjnXtybAMWlCbydnPBhGjzevSvuLMsERFZ0Yr9OZAkYFiXtujQ1lN0HJvAgtIMifXnIfx8tAgllbWC0xARkSPQGYz49qB5fmPDogxiQWmWnqFqREf4wmCS8M2BPNFxiIjIAfyUUYTy6jqEqN0wsv4MOGJBabaGpV8r9+XCYDQJTkNERPauYY+t+2IjoFTwY7kBvxPNNLZPCPw8XVGoqcWvx4tFxyEiIjt2/LwWB3MuQimXYcrAcNFxbAoLSjO5uShwX6z5N9Hy3efEhiEiIrv2+Z5zAIBRPYMR6OMmNoyNaXZB2blzJ8aNG4fQ0FDIZDKsW7eu0fOSJGHBggUICQmBu7s7EhISkJWV1eg15eXlSExMhI+PD3x9fTF9+nRUVVXd0C+kNT0wqD0Uchn2nS3HsUKt6DhERGSHLlbXYe2hAgDA1CEdxIaxQc0uKNXV1ejbty+WLFlyxecXLlyI999/H8uWLcO+ffvg6emJUaNGobb2f6teEhMTkZmZiS1btmDTpk3YuXMnZs6cef2/ilYWonbH6F7m83ka2i8REVFzrD6QB53BhJ6hPohp30Z0HJsjk25gW1SZTIa1a9diwoQJAMyjJ6GhoXj66afxzDPPAAA0Gg2CgoLw2WefYcqUKTh+/Dh69OiBAwcOICYmBgCwefNmjBkzBvn5+QgNDb3mz6vVaqFWq6HRaODj43O98W/IwXPluHtZClRKOfbOH4k2nq5CchARkf0xGE24aeF2FGpq8X9398HkGOeYf9Kcz2+rzkE5e/YsioqKkJCQYLmmVqsRFxeHlJQUAEBKSgp8fX0t5QQAEhISIJfLsW/fviu+r06ng1arbfQQbUD7NujVzgc6gwmrueSYiIiaYcuxYhRqauHv6Ypxfa/9F3NnZNWCUlRUBAAICgpqdD0oKMjyXFFREQIDG6/zViqV8PPzs7zmz5KTk6FWqy2P8HDxTVMmk2Hq4EgAwJcp57jkmIiImqxhkcX9cRE8d+cv2MUqnvnz50Oj0VgeeXm2MWJxxx+WHG85xiXHRER0bUcLNNh/rhxKuQyJcdw59q9YtaAEB5snjhYXN/6wLi4utjwXHByMkpKSRs8bDAaUl5dbXvNnKpUKPj4+jR62wM1FYTnUaTknyxIRURM0LK64vXcIgtVcWvxXrFpQIiMjERwcjK1bt1quabVa7Nu3D/Hx8QCA+Ph4VFRUIDU11fKabdu2wWQyIS4uzppxWkXDkuP9XHJMRETXcKFKh/WHCwEAUwd3EBvGxjW7oFRVVSE9PR3p6ekAzBNj09PTkZubC5lMhjlz5uD111/Hhg0bkJGRgYceegihoaGWlT7du3fH6NGjMWPGDOzfvx+7d+/GrFmzMGXKlCat4LE1wWo33M4lx0RE1ASrD+ShzmBCnzA1+kf4io5j05pdUA4ePIjo6GhER0cDAObOnYvo6GgsWLAAADBv3jzMnj0bM2fOxMCBA1FVVYXNmzfDze1/w1grVqxAVFQURo4ciTFjxmDo0KH4+OOPrfRLan3T6jfYWZdegPLqOrFhiIjIJumNJnyZYj53Z+rgDpDJZIIT2bYb2gdFFFvYB+WPJEnCnR/sRkaBBvNGd8PjwzuLjkRERDZm05FCzFp5CG29VNj9/AiolM63ekfYPijOSiaT4eH6e4lfpeRwyTEREV3ms/qlxYlxEU5ZTpqLBcVK7ugTAn8uOSYioivIyNfgYM5FuChkSIyLEB3HLrCgWImbiwL3x3HJMRERXW75nrMAgLG9Q3hqcROxoFhRYlx7KOuXHGcWakTHISIiG1BaqcOmw+cBAFOHRApOYz9YUKwoWO2G23uHAOCSYyIiMlu1Pxd1RhP6hfuiX7iv6Dh2gwXFyho23lmXXsglx0RETq7OYMJXe81Lixu2pKCmYUGxsv4RvujdTo06gwmrD+SKjkNERAL9dPQ8Sip1CPBW4fZeIaLj2BUWFCszn3LcAQDwZUoO9FxyTETktD6rv93/QFx7uCr5kdsc/G61gDv6hqCtlyvOa2rxY8Z50XGIiEiA9LwKHMqtgKtCblnlSU3HgtICVEoFHorvAAD4z66zsMPNeomI6AZ9+rt5afEdfUIQ4K0SnMb+sKC0kAcGtYebixwZBRrsO1suOg4REbWigopL+KF+BH36MC4tvh4sKC3Ez9MVk/qHAQD+s+uM4DRERNSalv9+FkaThCGd/dEzVC06jl1iQWlB04dGQiYDfj1egtOlVaLjEBFRK9DW6rH6QB4A4G/DOgpOY79YUFpQxwAvjIwKAgD8t/5eJBERObbV+3NRpTOgS6AXhncNEB3HbrGgtLCZN5nb8/ep+bhQpROchoiIWpLeaMLy+lOLZwzrCJlMJjaQHWNBaWEDO7RB3zA1dAYTvqzfTZCIiBzTD0fO47ymFm29VBgfHSo6jl1jQWlhMpnMcg/yy5Qc1OqNghMREVFLkCQJH+80L4qYOrg9VEqF4ET2jQWlFdzeKxjtfN1xoboOaw8ViI5DREQtIOX0BRw7r4WbixyJce1Fx7F7LCitQKmQWw6J+s+uMzCZuHEbEZGj+aR+S4l7YsLRxtNVcBr7x4LSSu4dGA5vlRKnS6ux/WSJ6DhERGRFWcWV2H6yFDIZ8MgQbsxmDSworcTbzcVyFsMn3LiNiMih/GeXeSuJUT2C0aGtp+A0joEFpRVNHdIBSrkMe8+U42iBRnQcIiKygpLKWsv8whk3cfTEWlhQWlGI2h139AkBwFEUIiJH8WVKDuqMJvSP8MWA9n6i4zgMFpRW1rDkeNOR8yisuCQ4DRER3YiaOoNlj6sZ3NbeqlhQWlmvdmrEd/SH0SThsz3nRMchIqIb8H1qPipq9Ijw88BtPYNFx3EoLCgCNNyjXLUvF5W1esFpiIjoehhNEv5Tf87a9KGRUMi5rb01saAIMLxrIDoHeqFSZ8DX9SdeEhGRfdlyrBg5F2qgdnfB5Jgw0XEcDguKAHK5DH8bah5FWb77HAxGk+BERETUXA2LHR4YFAEPV6XgNI6HBUWQCdHt0NbLFQUVl/BDxnnRcYiIqBlScy4iNeciXBVyPBzfQXQch8SCIoibiwJTB3cAACz97TQkidvfExHZi0/qDwUc3y8UgT5ugtM4JhYUgR6M7wAvlRIniiqx7QS3vycisgfZJVX4+VgRAGDGTVxa3FJYUARSu7sgcZB5+/sPOYpCRGQXlu04DUkCbu0RhK5B3qLjOCwWFMGmD42Eq1KO1JyL2H+2XHQcIiK6ioKKS1hXv63948M7CU7j2FhQBAv0dsPkAeblaR/+dlpwGiIiuppPdp6BwSRhcCd/REe0ER3HobGg2IBHb+oEuQzYcaqUhwgSEdmosiodVu3PBQAkjegsOI3jY0GxARH+HhjXNxQAsHQHR1GIiGzR8t1noTOY0DdMjcGd/EXHcXgsKDbi7/X3Mn/KOI+zZdWC0xAR0R9pa/X4Yo/5UMDHR3SGTMZt7Vua1QuK0WjEyy+/jMjISLi7u6NTp0547bXXGq1QkSQJCxYsQEhICNzd3ZGQkICsrCxrR7ErUcE+GBkVCJMEfMRRFCIim/LV3hxU6gzoEuiFW7sHiY7jFKxeUN566y0sXboUH3zwAY4fP4633noLCxcuxOLFiy2vWbhwId5//30sW7YM+/btg6enJ0aNGoXa2lprx7Erj48wj6J8n5aPIo1zfy+IiGxFrd6IT+sPBXzs5k6Q81DAVmH1grJnzx6MHz8eY8eORYcOHXD33Xfjtttuw/79+wGYR08WLVqEl156CePHj0efPn3wxRdfoLCwEOvWrbN2HLsyoL0fYiP9oDdKljMeiIhIrG8O5qGsqg7tfN1xZ79Q0XGchtULyuDBg7F161acOnUKAHD48GH8/vvvuP322wEAZ8+eRVFRERISEixfo1arERcXh5SUlCu+p06ng1arbfRwVA3r6lftz8XF6jrBaYiInJveaMJHO8x/YXz05o5wUXDqZmux+nf6+eefx5QpUxAVFQUXFxdER0djzpw5SExMBAAUFZm3Bw4KanwPLygoyPLcnyUnJ0OtVlse4eHh1o5tM27uGoCeoT6oqTPisz3nRMchInJqG9ILUVBxCW29XHFPjON+9tgiqxeUb775BitWrMDKlSuRlpaGzz//HG+//TY+//zz637P+fPnQ6PRWB55eXlWTGxbZDKZZUXPZ3vOoVpnEJyIiMg5mUySZeuHR4ZGws1FITiRc7F6QXn22Wctoyi9e/fGgw8+iKeeegrJyckAgODgYABAcXFxo68rLi62PPdnKpUKPj4+jR6O7PZeIYhs6wnNJb1lUyAiImpdvxwrRnZJFbzdlHhgUHvRcZyO1QtKTU0N5PLGb6tQKGAymQAAkZGRCA4OxtatWy3Pa7Va7Nu3D/Hx8daOY5cUchkerT8h85NdZ6AzGAUnIiJyLpIkYelv2QCAh+Lbw8fNRXAi52P1gjJu3Dj861//wg8//IBz585h7dq1eOedd3DXXXcBMN/CmDNnDl5//XVs2LABGRkZeOihhxAaGooJEyZYO47duqt/OwT7uKFYq8PatALRcYiInMru7As4nK+Bm4sc04ZEio7jlJTWfsPFixfj5ZdfxuOPP46SkhKEhobi0UcfxYIFCyyvmTdvHqqrqzFz5kxUVFRg6NCh2Lx5M9zc3Kwdx26plAr8bVgkXv/hOD7aeQaTY8Kh4Np7IqJW8WH96MmUgRFo66USnMY5yaQ/bvFqJ7RaLdRqNTQajUPPR6nWGTDkrW2oqNFj8X3RlvN6iIio5RzKvYi7PtwDpVyGHfNGoJ2vu+hIDqM5n99c0G3DPFVKTBtsHlr8YFs2TCa765JERHbnw9/MK3cmRLdjORGIBcXGTR3SAd5uSpwsrsTmzCvvE0NERNaRWajBlmPFkMnM29qTOCwoNk7t7oJH6idovfdrFkdRiIha0PtbzQfXjusTis6BXoLTODcWFDvwyNBIyyjKzxxFISJqEZmFGvycaR49eWJkZ9FxnB4Lih1Qu7tYlrm9t5WjKERELaHx6Im34DTEgmInpg+JhLdKiRNFHEUhIrI2jp7YHhYUO6H2cMG0IR0AcBSFiMjaOHpie1hQ7MgjQ/83ivLLMY6iEBFZA0dPbBMLih3x9XC1jKIs4ooeIiKr4OiJbWJBsTOPDI2El2UUpfjaX0BERH+Joye2iwXFzvxxFIVzUYiIbgxHT2wXC4odml4/inL8vBZbjnMUhYjoenD0xLaxoNghXw9XTB3cAYB5d1k7PO+RiEg4jp7YNhYUO9UwinLsvJZzUYiImomjJ7aPBcVOtfF0xcOD2wPgKAoRUXNx9MT2saDYsb8N7QhPVwWOnddiC0dRiIiahKMn9oEFxY6ZR1E6ADCv6OEoChHRtXH0xD6woNi5vw0zj6JkFmrx6/ES0XGIiGwaR0/sBwuKnfP7wyjKO1tOcV8UIqKr4OiJ/WBBcQAzhnWEd/2+KJsyzouOQ0RkkzLyOXpiT1hQHEAbT1fMuKkjAOCdX05CbzQJTkREZHsW/nwCADChXzuOntgBFhQH8cjQSPh7uuLchRp8ezBfdBwiIpuy53QZdmWVwUUhw1MJXUXHoSZgQXEQXiolkkaYhyzf23oKtXqj4ERERLZBkiQs3HwSAHBfbAQi/D0EJ6KmYEFxIImDItDO1x3FWh2+SDknOg4RkU3YcqwY6XkVcHdRYNYtnHtiL1hQHIhKqcCTCV0AAB/+dhraWr3gREREYhlNEt7+xTx6Mm1IBwR6uwlORE3FguJgJka3Q6cAT1TU6PGfnWdExyEiEmrdoQKcKq6C2t0Fj97cSXQcagYWFAejVMjxzG3dAAD/+f0syqp0ghMREYlRZzDh3V9PAQAeu7kT1O4ughNRc7CgOKDRvYLRJ0yNmjojPtx+WnQcIiIhVu3PRf7FSwj0VmFq/YaWZD9YUByQTCbDs6PMoyhf7c1BQcUlwYmIiFpXtc6AxdvMu8Y+MbIL3F0VghNRc7GgOKihndtiUEc/1BlNeK9+iJOIyFks330WZVV1aO/vgXsHhouOQ9eBBcVByWQyzBsdBQD4LjUf2SVVghMREbWOi9V1+GiHeZHA3Fu7wkXBjzp7xP9qDqx/RBskdA+CSQLe2XJSdBwiolaxbMdpVOoMiAr2xrg+oaLj0HViQXFwz47qBpkM+DGjCBn5GtFxiIhaVJGmFp/tOQcAmDe6G+RymdhAdN1YUBxct2BvTOjXDsD/DsoiInJU72/Lgs5gQkz7NhjRLVB0HLoBLChO4KmErlDKZdiVVYaU0xdExyEiahFny6rx9YE8AMC80VGQyTh6Ys9YUJxAhL8H7ouNAGAeRZEkSXAiIiLre2fLKRhNEkZ0C0BspJ/oOHSDWqSgFBQU4IEHHoC/vz/c3d3Ru3dvHDx40PK8JElYsGABQkJC4O7ujoSEBGRlZbVEFKo3+5bOcHdR4FBuBX7IOC86DhGRVR0t0GDj4UIAwDP1+0CRfbN6Qbl48SKGDBkCFxcX/PTTTzh27Bj+/e9/o02bNpbXLFy4EO+//z6WLVuGffv2wdPTE6NGjUJtba2141C9QB83PHpzRwDAW5tPQGcwCk5ERGQdkiThXz8cBwDc2TcUPUPVghORNSit/YZvvfUWwsPDsXz5csu1yMhIy79LkoRFixbhpZdewvjx4wEAX3zxBYKCgrBu3TpMmTLF2pGo3sybOmLV/lzklV/C53vOYeZNPDiLiOzf1uMlSDlzAa5KuWUXbbJ/Vh9B2bBhA2JiYjB58mQEBgYiOjoan3zyieX5s2fPoqioCAkJCZZrarUacXFxSElJsXYc+gMPVyWerj9IcPG2bJRX1wlORER0Y/RGE9740Tx68siQSIT7eQhORNZi9YJy5swZLF26FF26dMHPP/+Mv//973jiiSfw+eefAwCKiooAAEFBQY2+LigoyPLcn+l0Omi12kYPuj6T+oehe4gPKmsNeH8r5/0QkX1buS8XZ8qq4e/pisdHcFTYkVi9oJhMJvTv3x9vvPEGoqOjMXPmTMyYMQPLli277vdMTk6GWq22PMLDea7C9VLIZXhpbHcA5oMEz5RyC3wisk+aS3osqj9r7Klbu8LHzUVwIrImqxeUkJAQ9OjRo9G17t27Izc3FwAQHBwMACguLm70muLiYstzfzZ//nxoNBrLIy8vz9qxncqQzm1xS1QgDCYJyT9x8zYisk9LtmfjYo0eXQK9MIUHAjocqxeUIUOG4OTJxue+nDp1Cu3btwdgnjAbHByMrVu3Wp7XarXYt28f4uPjr/ieKpUKPj4+jR50Y14YEwWFXIYtx4qx9ww3byMi+5J7oQaf7T4HAHhhbHcoeSCgw7H6f9GnnnoKe/fuxRtvvIHs7GysXLkSH3/8MZKSkgCYT9mdM2cOXn/9dWzYsAEZGRl46KGHEBoaigkTJlg7Dv2FzoHeuC/W/DeO1384BpOJm7cRkf14a/MJ1BlNGNalLYZ3DRAdh1qA1QvKwIEDsXbtWqxatQq9evXCa6+9hkWLFiExMdHymnnz5mH27NmYOXMmBg4ciKqqKmzevBlubm7WjkNXMSehK7xUShwt0GJdeoHoOERETXLwXDl+yDgPuQx4cWx3bmnvoGSSHe57rtVqoVarodFoeLvnBn34WzYWbj6JELUbtj09HO6uCtGRiIj+kskk4a6le3A4rwL3xYYjeWIf0ZGoGZrz+c2bdk7ukSGRaOfrjvOaWvz39zOi4xARXdXGI4U4nFcBT1cFnrq1q+g41IJYUJycm4sC80abN29b+ttplFTyuAEisk21eiMWbjYvwvj78E4I9Oa0AEfGgkIY1ycUfcPUqK4z4t0t3LyNiGzTp7vPoqDiEkLUbpg+tKPoONTCWFAIcrkML91h3rvm6wO5OFlUKTgREVFjZVU6fLj9NABg3uhunC/nBFhQCAAwsIMfRvcMhkmC5VwLIiJb8e6WU6jSGdAnTI3xfduJjkOtgAWFLJ6/PQouChl2nCrFthPF1/4CIqJWcKq4Eqv2m3cjf2lsD8jlXFbsDFhQyKJDW088MiQSAPCPjcdQqzcKTkREzk6SJPxjYyZMEjCqZxBiI/1ER6JWwoJCjcwe2QWB3irkXKjBf3Zx2TERifVjRhF2Z1+Aq1KOF8f0uPYXkMNgQaFGvFRKvFh/2vEH27NRUHFJcCIiclbVOgNe/+EYAODvN3dChL+H4ETUmlhQ6DJ39g1FbKQfavUmvL7pmOg4ROSklmzPxnlNLcL93PH34Z1Ex6FWxoJCl5HJZPjHnT2hkMvw09Ei7MoqFR2JiJzMmdIqfFJ/m3nBHT3h5sJlxc6GBYWuqHuIDx4c1B4A8OqGTNQZTIITEZGzkCQJr248Br1RwohuAUjoHig6EgnAgkJ/6albu6KtlytOl1bjsz1nRcchIifxc2Yxdp4qhatCjlfG9eRpxU6KBYX+ktrdBc+NjgIAvPdrFoq1PKeHiFrWpTojXquf+zbzpo7o0NZTcCIShQWFrmpS/zBER/iius7IHWaJqMV9+Jt59WA7X3ckjegsOg4JxIJCVyWXy/Da+F6QyYD16YXYd+aC6EhE5KDOlVXjox3mibEv39Gd5+04ORYUuqZe7dS4PzYCAPDKhkwYjJwwS0TW989Nx1BnNGFYl7YY1TNYdBwSjAWFmuSZ27rB18MFJ4oq8eXeHNFxiMjB/HqsGNtOlMBFIcOrd3JiLLGgUBO18XTFs6O6AQDe+eUUSit1ghMRkaOo1Rvxj02ZAIDpQzuiU4CX4ERkC1hQqMmmDIxA73ZqVOoMWLj5hOg4ROQglu04jbzySwhRu2H2LZwYS2YsKNRkCrkM/xjfEwDwbWo+Dp4rF5yIiOxdXnkNlv52GgDw4tju8FQpBSciW8GCQs3SP6IN7o0JBwDMX5PBHWaJ6LpJkoRXN2RCZzBhcCd/jO0dIjoS2RAWFGq2+WOi0NbLFVklVVi247ToOERkp37IOI+t9RNj/zmeE2OpMRYUajZfD1csGGe+1fPBtmxkl1QJTkRE9qaipg6vbjBPjH18eGd0DvQWnIhsDQsKXZdxfUIwvFsA6owmvLAmAyaTJDoSEdmRN348jrKqOnQO9MLjIzqJjkM2iAWFrotMJsPrE3rBw1WB/efK8fXBPNGRiMhO7MkuwzcH8wEAb07sDZWSO8bS5VhQ6LqFtfHA07eZ90Z548fjKOFhgkR0DbV6I+avzQAAPDioPWI6+AlORLaKBYVuyNTBHdAnTI3KWgNe3ZgpOg4R2bj3tmYh50INgn3cMG90N9FxyIaxoNANUchleHNiHyjkMvyYUYQtx4pFRyIiG5VZqMHHO82HAb42oRe83VwEJyJbxoJCN6xHqA9mDOsIAFiw/igqa/WCExGRrTGaJMxfkwGjScKY3sG4tUeQ6Ehk41hQyCqeHNkFEX4eOK+pxds/nxQdh4hszPLdZ3EkXwMfNyVevbOn6DhkB1hQyCrcXRV4467eAIAv9uYgLfei4EREZCvyymvw719OAQBeGNMdgd5ughORPWBBIasZ2qUtJvUPgyQB87/nNvhEZN7O/sV1R3FJb0RcpB/uHRguOhLZCRYUsqoXx3aHn6crThZX4uOd3AafyNmtTy/EzlOlcFXKkTyxN7ezpyZjQSGr8vN0xYI7egAA3t+WjdOl3AafyFmVV9fhn5uOATDPU+sY4CU4EdkTFhSyuvH9QnFT1wDUGUyY990RGLkNPpFTem3TMZRX1yEq2Bszb+ooOg7ZGRYUsjqZTIbkib3hpVIiNeeiZd8DInIeP2cWYe2hAshlwJuT+sBFwY8bap4W/x3z5ptvQiaTYc6cOZZrtbW1SEpKgr+/P7y8vDBp0iQUF3ODL0fSztcdC8aZb/W8u+UUThRpBSciotZSVqXDC2vM29k/enMn9Av3FRuI7FKLFpQDBw7go48+Qp8+fRpdf+qpp7Bx40Z8++232LFjBwoLCzFx4sSWjEICTB4QhoTugagzmvDU14e5qofICUiShBfWZOBC/a2dOQldREciO9ViBaWqqgqJiYn45JNP0KZNG8t1jUaD//73v3jnnXdwyy23YMCAAVi+fDn27NmDvXv3tlQcEkAmk+GNib3RxsMFx89rsXhbluhIRNTC1qQV4JdjxXBRyPDOPf14UjFdtxYrKElJSRg7diwSEhIaXU9NTYVer290PSoqChEREUhJSbnie+l0Omi12kYPsg+B3m74V/0Gbh/+dhrpeRViAxFRiymouIRXN5gPDZ2T0BU9Qn0EJyJ71iIFZfXq1UhLS0NycvJlzxUVFcHV1RW+vr6NrgcFBaGoqOiK75ecnAy1Wm15hIdzox97MqZ3CO7sGwqjScLcb9JRqzeKjkREVmYySZj33WFU6gzoH+GLR7lqh26Q1QtKXl4ennzySaxYsQJubtbZznj+/PnQaDSWR15enlXel1rPP8f3RKC3CmdKq/HW5hOi4xCRlX2Rcg67sy/A3UWBf9/TD0qu2qEbZPXfQampqSgpKUH//v2hVCqhVCqxY8cOvP/++1AqlQgKCkJdXR0qKioafV1xcTGCg4Ov+J4qlQo+Pj6NHmRffD1c8dbd5snSy3efw57TZYITEZG1nC6twpv1f/F4YUwUItt6Ck5EjsDqBWXkyJHIyMhAenq65RETE4PExETLv7u4uGDr1q2Wrzl58iRyc3MRHx9v7ThkQ0Z0C8R9sREAgGe/PYLKWr3gRER0owxGE+Z+cxi1ehOGdWmLBwa1Fx2JHITS2m/o7e2NXr16Nbrm6ekJf39/y/Xp06dj7ty58PPzg4+PD2bPno34+HgMGjTI2nHIxrw4tjt+zy5FXvklvL7puGVUhYjs09LfTuNwXgW83ZRYeHcfnrVDViPkJuG7776LO+64A5MmTcJNN92E4OBgrFmzRkQUamVeKiXevrsvZDLg64N52HaCG/QR2aujBRq8t9W8fcA/x/dEiNpdcCJyJDJJkuzuoBStVgu1Wg2NRsP5KHbq9U3H8J/fzyLAW4Vf5tyENp6uoiMRUTPU6o2484Pfcaq4Crf3CsaHif05ekLX1JzPb06zJiGeGdUNnQO9UFqpwwtrM2CHPZnIqb275RROFVehrZcrXp/Qi+WErI4FhYRwc1Hg3Xv6wUUhw09Hi7Byf67oSETURLuzy/DxLvMhoMkT+8DfSyU4ETkiFhQSpneYGs+NjgIA/HPjMR4oSGQHSit1eHJ1OiQJmDIwHLf2CBIdiRwUCwoJ9ciQSIzoFgCdwYSkFWmoqTOIjkREf8FUvxt0WZUOXYO88Mq4nqIjkQNjQSGh5HIZ/n1PPwT5qHC6tNpyjgcR2Z6lO05jV1YZ3FzkWHJ/f7i78iBAajksKCScn6cr3psSDbkM+OZgPtanF4iORER/cvBcOd7ZcgoA8M87e6FLkLfgROToWFDIJgzq6I/Zt3QBALywJgNny6oFJyKiBher6/DEqkMwmiRM6BeKyTFhoiORE2BBIZvxxMguiIv0Q3WdEbNXpUFn4KnHRKJJkoRnvzuCQk0tItt64vW7enNJMbUKFhSyGQq5DO9NiUYbDxccLdDizZ946jGRaMt3n8Ovx4vhqpBj8X3R8FJZ/YQUoitiQSGbEqx2w7/v6QvA/D/GLce4FT6RKEfyK5D803EA5nO0erVTC05EzoQFhWzOLVFB+NvQSADAs98dRmHFJcGJiJyPtlaPWSsPQW+UMKpnEB6K5ynF1LpYUMgmzRsdhT5halTU6PHk6kMwGE2iIxE5DUmSMH9NBnLLa9DO1x0LJ/XlvBNqdSwoZJNclf+7333g3EUs+jVLdCQip7Fqfx5+OHIeSrkMi++PhtrDRXQkckIsKGSz2vt7InlibwDAB9uzOR+FqBUcK9TiHxvNGyY+M6ob+ke0EZyInBULCtm0cX1D8XD9ve+nvk5HdkmV4EREjqu8ug4zvzwIncGEm7sGYOawjqIjkRNjQSGb99IdPRAb6YcqnQEzvzwIba1edCQih2MwmjBrZRryL15ChJ8H3pvSD3I5552QOCwoZPNcFHJ8mNgfIWo3nCmtxtyv02EySaJjETmU5J9OYM/pC/BwVeCTh2Lg6+EqOhI5ORYUsgttvVT46MEBcFXK8evxEry3lZNmiaxlTVo+/vv7WQDAO/f0RbdgnrND4rGgkN3oE+aLN+4yT5p9b2sWfsksEpyIyP4dya/A82syAACzb+mM0b1CBCciMmNBIbty94AwTB3cAQAw95vDnDRLdANKK3V49MtU1BlMGBkViKcSuoqORGTBgkJ258Wx3RHXMGn2C06aJboeeqMJSSvScF5Ti44BnniXk2LJxrCgkN1xUcixJLE/QtVuOFNWjadWc9IsUXO9tukY9p8rh7dKiY8fjIGPGzdjI9vCgkJ2qa2XCsvqJ81uPVGCRZw0S9RkXx/IxRcpOZDJgEVT+qFzoJfoSESXYUEhu9UnzBfJ9ZNm39+ahc1HOWmW6FrSci/i5XXmnWLnJnTFyO5BghMRXRkLCtm1SX+YNPv0N+nILNSIDURkw0q0tXjsy1TUGU0Y3TMYSSM6i45E9JdYUMjuvTi2OwZ38kd1nRGPfHYAhRWXREcisjlVOgMe+fwASip16Brkhbfv6ctJsWTTWFDI7rko5Fj6wAB0DfJCsVaHqcv3Q3OJK3uIGjSs2DlaoIW/pys+eSgGXiql6FhEV8WCQg5B7e6C5dNiEeitwqniKvMwtsEkOhaRcJIk4cW1GdhxqhTuLgp8OnUg2vt7io5FdE0sKOQw2vm6Y/m0gfB0VSDlzAU89/0RSBKXH5Nze29rFr45mA+5DPjg/mj0DfcVHYmoSVhQyKH0DFXjwwcGQCGXYe2hAvz7l1OiIxEJ882BPCz61bwE/7UJvbhih+wKCwo5nJu7BliWH3+wPRsr9+UKTkTU+n47WYL5a81n7CSN6ITEuPaCExE1DwsKOaR7BobjiZFdAAAvrz+K7SdKBCciaj1HCzRIWpEGo0nCxOh2eOa2bqIjETUbCwo5rKcSumBS/zAYTRKSVqYhI597pJDjyyuvwbTPDqC6zoghnf3x5qQ+kMm4nJjsDwsKOSyZTIbkib0xtHNb1NQZMe2zA8grrxEdi6jFVNTUYery/Sit1CEq2BtLHzAfB0Fkj/g7lxyaq1KODx/oj6hgb5RVmfdIuVhdJzoWkdXV6o2Y8cVBnC6tRojaDcunDeQBgGTXWFDI4fm4uWD5tIEI9nHD6dJqPPjpPm7kRg5FbzThiVWHcODcRXi7KfHZtFiEqN1FxyK6ISwo5BRC1O74cnos/DxdcbRAi4c/3Y8qnUF0LKIbZjCaMOfrdPxyrBiuCjk+enAAugV7i45FdMOsXlCSk5MxcOBAeHt7IzAwEBMmTMDJkycbvaa2thZJSUnw9/eHl5cXJk2ahOLiYmtHIWqkS5A3vpoeB7W7C9LzKvDI8gOoqWNJIftlNEl45tvD+OHIebgoZFj6QH8M7tRWdCwiq7B6QdmxYweSkpKwd+9ebNmyBXq9Hrfddhuqq6str3nqqaewceNGfPvtt9ixYwcKCwsxceJEa0chukyPUB98OT0W3iol9p8rx98+P4havVF0LKJmM5kkPP/9EaxLL4RSLsMH9/fnRmzkUGRSC+8FXlpaisDAQOzYsQM33XQTNBoNAgICsHLlStx9990AgBMnTqB79+5ISUnBoEGDrvmeWq0WarUaGo0GPj4+LRmfHFRqzkU89N99qK4zYni3AHz04AColArRsYiaRJIkvLD2KFbtz4VcBiy+rz/G9gkRHYvomprz+d3ic1A0GvPeE35+fgCA1NRU6PV6JCQkWF4TFRWFiIgIpKSkXPE9dDodtFptowfRjRjQvg0+nToQbi5y/HayFLNWHoLeyMMFyfZJkoRXN2Ri1f5cyGTAu/f2Yzkhh9SiBcVkMmHOnDkYMmQIevXqBQAoKiqCq6srfH19G702KCgIRUVFV3yf5ORkqNVqyyM8PLwlY5OTiOvoj/88NBCuSjm2HCvGnNXpMLCkkA2TJAn/+uE4Pk/JAQAsnNQH4/u1E5yKqGW0aEFJSkrC0aNHsXr16ht6n/nz50Oj0VgeeXl5VkpIzm5ol7b46IEBcFHI8EPGeTz73REYTTwBmWyPJElY+PNJ/Of3swCAN+7qjckx/MsaOa4WKyizZs3Cpk2bsH37doSFhVmuBwcHo66uDhUVFY1eX1xcjODg4Cu+l0qlgo+PT6MHkbWMiArEB/f3t5yA/OLaDJhYUsjGLPo1C0t/Ow0A+Of4nrg/LkJwIqKWZfWCIkkSZs2ahbVr12Lbtm2IjIxs9PyAAQPg4uKCrVu3Wq6dPHkSubm5iI+Pt3YcoiYZ1TMYi+7tB7kMWH0gD8+vOcLbPWQTJEnC4q1ZeG9rFgDgpbHd8VB8B7GhiFqB0tpvmJSUhJUrV2L9+vXw9va2zCtRq9Vwd3eHWq3G9OnTMXfuXPj5+cHHxwezZ89GfHx8k1bwELWUcX1DYTCZ8PQ3h/HNwXxoLunx3pRouLlwdQ+JYTJJSP7pOD7ZZb6t89zoKPxtWEfBqYhah9WXGf/VqZnLly/H1KlTAZg3anv66aexatUq6HQ6jBo1Ch9++OFf3uL5My4zppa0+WgRnlh1CHVGE+I7+uPjhwbAm2eaUCvTG014/vsMfJ+WDwB4YUwUZt7USXAqohvTnM/vFt8HpSWwoFBL23O6DDM+P4jqOiN6t1Pjs2kD4e+lEh2LnESt3oikFWnYeqIECrkMb07khFhyDDa1DwqRPRrcqS1WzRwEP09XZBRoMPmjFBRUXBIdi5yA5pIeD/53H7aeKIFKKceyBwawnJBTYkEh+gt9wnzx7WPxCFW74UxpNe5eugfZJVWiY5EDK9HW4t6PUiynEn85PQ639uD29eScWFCIrqJTgBe++/tgdArwxHlNLSYv24Mj+RWiY5EDyrlQjbuXpeBEUSUCvFX4emY8YiP9RMciEoYFhegaQn3d8e1jg9EnTI2LNXrc9/Fe7MkuEx2LHEhmoQaTlqYgt7wGEX4e+P6xwegRyvl15NxYUIiawM/TFStnDMLgTv6orjNi6vID+OHIedGxyAHsPXMBUz7ai7IqHbqH+OC7v8cjwt9DdCwi4VhQiJrIS6XEp1MHYnTPYNQZTUhamYZ3fjnJXWfpun2Xmo+HPt2PSp0BsR38sHrmIAR6u4mORWQTWFCImsHNRYEP7o/G9KHmHZLf35aNx75KRZXOIDgZ2ROD0YR/bMzEM98eRp3BhNt6BOGL6bFQu3O/HaIGLChEzaRUyPHyHT3wf3f3gatCjl+OFWPSh3uQe6FGdDSyA+XVdXjo0/1YvvscAOCJkV2w7IEB3LGY6E9YUIiu0+SYcKx+dBACvFU4WVyJO5f8zsmzdFXHz2tx5we/Y8/pC/BwVWDZA/0x99aukMuvvAM3kTNjQSG6Af0j2mDjrKHoG6ZGRY0eD366H5/tPgs73KCZWtgPR85j4od7kH/xEiL8PLD28SEY3StEdCwim8WCQnSDgtVu+PrReEyMbgejScKrG4/h+e8zoDMYRUcjG2AySfi/n08gaWUaLumNGNalLTbMGoJuwd6ioxHZNBYUIitwc1Hg3/f0xYtjukMuA74+mIf7P9mHkspa0dFIIG2tHn/74iCWbD8NAJgxLBLLpw6Er4er4GREto8FhchKZDIZZtzUEcunxcLbTYnUnIsY+/7v2HGqVHQ0EuBYoRYTluzGthMlcFXK8e69ffHi2B5QKvi/XaKm4J8UIiu7uWsA1icNQZdAL5RW6vDwp/vx6oZM1Op5y8cZmEwSPt55GhOW7MaZ0mqEqN3w3WPxuCs6THQ0Irsik+xwNl9zjmsmEqVWb0Tyj8fxeUoOAKBrkBfemxKN7iH8PeuoCiou4elv0rH3TDkAIKF7IN6c1AdtvVSCkxHZhuZ8frOgELWw7SdL8Oy3R1BWpYOrQo55o7vhkSGRXFrqYNanF+CldUdRWWuAu4sCC8b1wJSB4ZDJ+N+ZqAELCpGNKavS4fnvj+DX4yUAgKGd2+LtyX0RrOa25vZOU6PHS+uPYuPhQgBAv3BfvHtvP0S29RScjMj2sKAQ2SBJkrByfy5e23QMtXoTfD1ckHxXb9zem3th2Ks92WV4+tvDOK+phUIuw+xbOmPWiM6cCEv0F1hQiGzY6dIqzFmdjowCDQBgUv8wvDi2O/w8ufTUXtTqjfj3Lyfxya6zAIAO/h54995+iI5oIzgZkW1jQSGycXUGExb9egpLd5yGJAG+Hi545rZuuC82AgrOTbFZkiTh1+MleG3TMeSWm89eui82Ai+N7Q5PlVJwOiLbx4JCZCcOnivHS+uO4kRRJQCgdzs1/jm+J/8mboPOllXjHxsz8dtJ8742QT4q/GtCbyT0CBKcjMh+sKAQ2RGD0YQv9+bgnV9OoVJnAADcGxOOeaO7wZ/LU4Wr1hnwwfZs/HfXWdQZTXBRyPC3YR0xa0RnjpoQNRMLCpEdKq3U4c2fTuD7tHwAgNrdBc+M6ob7edtHCEmSsOnIefzrh+Mo0pqPLLi5awBeGdcDHQO8BKcjsk8sKER27OC5cry8PhPHz2sBAL3a+eCf43uhP2/7tJoTRVq8uiHTsuFauJ87FtzREwndA7mvCdENYEEhsnMGowkr9uXi7V9OorLWfNsnoXsQnhjZGX3CfMWGc2C5F2qwdEc2vjmYD6NJgpuLHI8P74yZN3WEm4tCdDwiu8eCQuQgyqp0eOunE/guLR8Nf1KHdwvA7Fu6YEB7jqhYS3ZJFT78LRvr0wthNJm/0bf3CsaLY7sjrI2H4HREjoMFhcjBnC6twpLtjT9Ah3Zui9m3dEZcR3/B6ezXsUItlvyWjR8zzlsK4M1dAzDrls4Y2MFPbDgiB8SCQuSgzpVV48PfsrEmrQCG+qISF+mHJ0d2QXwnf86PaKL0vAp8sC3LcvQAANzWIwizbuEtNKKWxIJC5ODyymuwdMdpfHswD3qj+Y/wgPZt8PDgDritRxDnS1yBySRh9+kyfLzzDHZllQEA5DJgbJ9QJI3ohKhg/r+EqKWxoBA5icKKS/hox2msOpCHOoMJAODjpsSE6Ha4JyYcPUN9nH5U5VxZNb5Py8f3qfko1JiXCyvlMtwV3Q5/H96JS4aJWhELCpGTKdbWYsXeHHz3hw9hAOge4oN7YsIwoV87tHGis36qdAb8cKQQ36Xm48C5i5br3m5K3BXdDjOGdUS4Hye/ErU2FhQiJ2U0SdidXYZvU/Pxc2aRZVTFVSFHQo9ATI4Jx7DObR3ytF2TScLeMxfwXWo+fjpahEt6IwDzbZxhXQJw94Aw3MrbX0RCsaAQESpq6rDhcCG+OZiHowVay3VvlRKDO/tjWJcA3NQlABH+9juSUFJZiz3ZF7Arqwy/Z5eiWKuzPNcxwBOTB4Tjruh2CFa7CUxJRA1YUIiokcxCDb49mI8NhwtRXl3X6Ln2/h4Y1qUthnUJQHwnf/i4uQhKeW01dQbsO1OO37PLsDu7zHLIYgNvNyXG9Q3F5AFh6Bfu6/Tzb4hsDQsKEV2R0SThaIEGu7JKsTOrDGk5Fy3LlQFAIZehf4Qv+rdvg66B3uga5I1OgZ7wcG39Q/HqDCbkXKhGdkkVThZXYs/pCziUe9GyaqlBr3Y+GNK5LYZ1DkBMhza8hUNkw1hQiKhJqnQG7D19AbuySrErqwxnyqove41MBoS1cUeXQG90CfRClyDzPyP8PODtpryh+SySJKFSZ8DZUnMRyS6tQnZJFU6XVCGnvMayKd0ftfN1x7AubTG0S1sM7tQWfk40+ZfI3rGgENF1ySuvwe/ZZThWqEVWSSWyiqtw4U+3hP7M3UUBLzclvN2U8HZzgbeq4d+VcFXKUaMzokpnQHWdAVU6I6p1BlTrDKjSGVBTZ7xiCWng6apA50AvdArwQv/2bTC0c1u09/fgrRsiO9Wcz+/WH7f9gyVLluD//u//UFRUhL59+2Lx4sWIjY0VGYnIqYX7eeC+2IhG1y5U6ZBdUoVTJVXILq5EVkkVThVXoazKPCH1kt6IS3ojSit1V3rLJmnrpULnQE90DvRC5wAvdAr0QudALwT7uLGMEDkpYQXl66+/xty5c7Fs2TLExcVh0aJFGDVqFE6ePInAwEBRsYjoT/y9VPD3Ul125o/eaEJVrXkkRFurR2WtAZW1BlTp/vfvOr0RHiolPFVKeKkU8HRVwqv+x+Zr5pEWT5XQvysRkQ0SdosnLi4OAwcOxAcffAAAMJlMCA8Px+zZs/H8889f9Wt5i4eIiMj+NOfzW8huTXV1dUhNTUVCQsL/gsjlSEhIQEpKymWv1+l00Gq1jR5ERETkuIQUlLKyMhiNRgQFBTW6HhQUhKKiosten5ycDLVabXmEh4e3VlQiIiISwC72u54/fz40Go3lkZeXJzoSERERtSAhM9Patm0LhUKB4uLiRteLi4sRHBx82etVKhVUKlVrxSMiIiLBhIyguLq6YsCAAdi6davlmslkwtatWxEfHy8iEhEREdkQYWv75s6di4cffhgxMTGIjY3FokWLUF1djWnTpomKRERERDZCWEG59957UVpaigULFqCoqAj9+vXD5s2bL5s4S0RERM6HW90TERFRq7D5fVCIiIiIroYFhYiIiGwOCwoRERHZHBYUIiIisjksKERERGRz7PKM84aFRzw0kIiIyH40fG43ZQGxXRaUyspKAOChgURERHaosrISarX6qq+xy31QTCYTCgsL4e3tDZlMJjqOcFqtFuHh4cjLy+O+MC2I3+fWwe9z6+D3uXXw+9yYJEmorKxEaGgo5PKrzzKxyxEUuVyOsLAw0TFsjo+PD/8AtAJ+n1sHv8+tg9/n1sHv8/9ca+SkASfJEhERkc1hQSEiIiKbw4LiAFQqFV555RWoVCrRURwav8+tg9/n1sHvc+vg9/n62eUkWSIiInJsHEEhIiIim8OCQkRERDaHBYWIiIhsDgsKERER2RwWFAel0+nQr18/yGQypKeni47jUM6dO4fp06cjMjIS7u7u6NSpE1555RXU1dWJjuYQlixZgg4dOsDNzQ1xcXHYv3+/6EgOJTk5GQMHDoS3tzcCAwMxYcIEnDx5UnQsh/fmm29CJpNhzpw5oqPYDRYUBzVv3jyEhoaKjuGQTpw4AZPJhI8++giZmZl49913sWzZMrzwwguio9m9r7/+GnPnzsUrr7yCtLQ09O3bF6NGjUJJSYnoaA5jx44dSEpKwt69e7Flyxbo9XrcdtttqK6uFh3NYR04cAAfffQR+vTpIzqKfZHI4fz4449SVFSUlJmZKQGQDh06JDqSw1u4cKEUGRkpOobdi42NlZKSkiw/NhqNUmhoqJScnCwwlWMrKSmRAEg7duwQHcUhVVZWSl26dJG2bNki3XzzzdKTTz4pOpLd4AiKgykuLsaMGTPw5ZdfwsPDQ3Qcp6HRaODn5yc6hl2rq6tDamoqEhISLNfkcjkSEhKQkpIiMJlj02g0AMDfvy0kKSkJY8eObfT7mprGLg8LpCuTJAlTp07FY489hpiYGJw7d050JKeQnZ2NxYsX4+233xYdxa6VlZXBaDQiKCio0fWgoCCcOHFCUCrHZjKZMGfOHAwZMgS9evUSHcfhrF69GmlpaThw4IDoKHaJIyh24Pnnn4dMJrvq48SJE1i8eDEqKysxf/580ZHtUlO/z39UUFCA0aNHY/LkyZgxY4ag5ETXJykpCUePHsXq1atFR3E4eXl5ePLJJ7FixQq4ubmJjmOXuNW9HSgtLcWFCxeu+pqOHTvinnvuwcaNGyGTySzXjUYjFAoFEhMT8fnnn7d0VLvW1O+zq6srAKCwsBDDhw/HoEGD8Nlnn0EuZ9+/EXV1dfDw8MB3332HCRMmWK4//PDDqKiowPr168WFc0CzZs3C+vXrsXPnTkRGRoqO43DWrVuHu+66CwqFwnLNaDRCJpNBLpdDp9M1eo4ux4LiQHJzc6HVai0/LiwsxKhRo/Ddd98hLi4OYWFhAtM5loKCAowYMQIDBgzAV199xf/RWElcXBxiY2OxePFiAOZbEBEREZg1axaef/55wekcgyRJmD17NtauXYvffvsNXbp0ER3JIVVWViInJ6fRtWnTpiEqKgrPPfccb6k1AeegOJCIiIhGP/by8gIAdOrUieXEigoKCjB8+HC0b98eb7/9NkpLSy3PBQcHC0xm/+bOnYuHH34YMTExiI2NxaJFi1BdXY1p06aJjuYwkpKSsHLlSqxfvx7e3t4oKioCAKjVari7uwtO5zi8vb0vKyGenp7w9/dnOWkiFhSiZtqyZQuys7ORnZ19WfHjgOSNuffee1FaWooFCxagqKgI/fr1w+bNmy+bOEvXb+nSpQCA4cOHN7q+fPlyTJ06tfUDEf0F3uIhIiIim8NZfURERGRzWFCIiIjI5rCgEBERkc1hQSEiIiKbw4JCRERENocFhYiIiGwOCwoRERHZHBYUIiIisjksKERERGRzWFCIiIjI5rCgEBERkc1hQSEiIiKb8/9Epkpsf0JraAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x1,y2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "abdda5a1-27fe-43f8-a1bd-343da320c3b5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc25cd435b0>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f3(x):\n",
    "    return 5*x**3 + 3*x**2 - x + 2\n",
    "\n",
    "y3 = f3(x1)\n",
    "plt.plot(x1,y3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "87549d3c-c246-4185-936f-a0d95119147f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.18"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
